8,561,430

2 × 3³ × 5 × 37 × 857

Starting at 8,561,430, the Collatz iteration reaches 1 after 150 steps. The first transition is 4280715; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 37 × 857

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 23,474,880

Proper Divisor Sum 14,913,450

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8561417 ← → #8561437

Radix Representation

Decimal	8561430
Binary	100000101010001100010110 (24 bits)
Octal	0o40521426
Hexadecimal	0x82A316

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 857 999 1,110 1,665 1,714 1,998 2,571 3,330 4,285 4,995 5,142 7,713 8,570 9,990 12,855 15,426 23,139 25,710 31,709 38,565 46,278 63,418 77,130 95,127 115,695 158,545 190,254 231,390 285,381 317,090 475,635 570,762 856,143 951,270 1,426,905

Collatz Trajectory (150 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,561,430 4,280,715 12,842,146 6,421,073 19,263,220 9,631,610 4,815,805 14,447,416 7,223,708 3,611,854 1,805,927 5,417,782 2,708,891 8,126,674 4,063,337 12,190,012 6,095,006 3,047,503 9,142,510 4,571,255 13,713,766 6,856,883 20,570,650 10,285,325 30,855,976 15,427,988 7,713,994 3,856,997 11,570,992 5,785,496 2,892,748 1,446,374 723,187 2,169,562 1,084,781 3,254,344 1,627,172 813,586 406,793 1,220,380 610,190 305,095 915,286 457,643 1,372,930 686,465 2,059,396 1,029,698 514,849 1,544,548 772,274 386,137 1,158,412 579,206 289,603 868,810 434,405 1,303,216 651,608 325,804

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